Adiabatic Invariance of a Simple Oscillator

DOI10.1137/0504009zbMath0252.34064OpenAlexW2068026731MaRDI QIDQ5665522

Wolfgang Wasow

Publication date: 1973

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0504009

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (12)

Transcendentally small reflection of waves for problems with/without turning points near infinity: A new uniform approach ⋮ Exponential asymptotics and adiabatic invariance of a simple oscillator ⋮ Adiabatic variation. II: Action change for the simple oscillator ⋮ Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients ⋮ Exponential action of a pendulum ⋮ Asymptotics beyond All Orders for a Certain Type of Nonlinear Oscillators ⋮ WKB estimates for \(2\times 2\) linear dynamic systems on time scales ⋮ Asymptotic integration of adiabatic oscillators ⋮ Adiabatic variation. IV: Action change of a pendulum for general frequency ⋮ The magnitude of an adiabatic invariant of quantum mechanics ⋮ A note on adiabatic invariance in Hamiltonian systems depending singularly on the slow time ⋮ Adiabatic invariants for linear Hamiltonian systems

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